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5.N
Understand and use numeration
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5.M1.2.1
Read, write, model, order, and count with positive whole numbers to 1,000,000 and negative whole numbers.
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5.M1.2.2
Use, model, and identify place value positions from 0.001 to 1,000,000.
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5.M1.2.3
Model and explain the processes of multiplication and division. Describe the relationships among the four basic operations.
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5.M1.2.4
Identify and describe different uses for the same numerical representation.
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5.M1.2.5
Model and explain the process of adding and subtracting fractions with common denominators and decimals that represent money.
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5.M1.2.6
Identify and describe factors and multiples including those factors and multiples common to a pair or set of numbers.
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5.M1.2.7
Demonstrate the commutative and identity properties of multiplication.
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5.N-1
reading, writing, ordering, or counting
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5.N-2
identifying place value positions from tenths to millions
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5.N-3
converting between whole numbers written in expanded notation and standard form
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5.N-4
modeling, identifying, describing with explanations, or illustrating equal parts of a whole, a region, or a set
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5.N-5
modeling, identifying, describing with explanations, or illustrating equivalent fractions or mixed numbers
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5.N-6
using models, explanations, number lines, or real-life situations describing or illustrating the process of division and its relationship to subtraction or to multiplication
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5.N-7
using models, explanations, number lines, or real-life situations describing or illustrating the process of adding and subtracting proper fractions or mixed numbers (like denominators)
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5.N-8
using models, explanations, number lines, or real-life situations describing or illustrating the process of adding or subtracting decimals that represent money
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5.N-9
describing or illustrating commutative or identity properties of addition or multiplication using models or explanations
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5.N-10
identifying or listing factors and multiples common to a pair or set of numbers
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5.MEA
Select and use systems, units, and tools of measurement
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5.M2.2.1
Estimate and measure weights, lengths, and temperatures to the nearest unit using the metric and standard systems.
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5.M2.2.2
Identify and use equivalent measurements (e.g., 60 minutes = 1 hour, 7 days = 1 week).
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5.M2.2.3
Use a variety of measuring tools; describe the attribute(s) they measure.
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5.M2.2.4
Estimate and measure the dimensions of geometric figures.
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5.M2.2.5
Tell time using analog and digital clocks identifying AM and PM; find elapsed time.
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5.M2.2.6
Read, write, and use money notation, determining possible combinations of coins and bills to equal given amounts; count back change for any given situation.
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5.MEA-1
estimating length to the nearest one-fourth inch or centimeter
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5.MEA-2
estimating temperature (degree Celsius or Fahrenheit, plus or minus 5 degrees) or weight (half-pounds or kilograms) to the nearest unit
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5.MEA-3
identifying or using equivalent measures for weight/mass (16 oz. = 1 pound or 1000 grams = 1 kilogram) and length (1000 millimeters = 1 meter) or time
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5.MEA-4
measuring temperature or weight using appropriate tools
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5.MEA-5
telling time using analog clocks to the nearest minute and using A.M. or P.M.
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5.MEA-6
determining possible combinations of coins and bills to given amounts
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5.MEA-7
simulating multiple purchases and calculating the amount of change from given bills up to $100.00
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5.MEA-8
measuring length to the nearest ¼ inch or centimeter
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5.E&C
Perform basic arithmetic functions, make reasoned estimates, and select and use appropriate methods or tools
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5.M3.2.1
Describe and use a variety of estimation strategies including rounding to the appropriate place value, multiplying by powers of 10, and using front-end estimation to check the reasonableness of solutions.
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5.M3.2.2
Recall and use basic multiplication and division facts orally, with paper and pencil without a calculator.
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5.M3.2.3
Add and subtract whole numbers and fractions with common denominators to 12 and decimals, including money amounts, using models and algorithms.
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5.M3.2.4
Multiply and divide multi-digit whole numbers by 2-digit numbers, limiting the 2-digit divisors to those that end in 0; multiply and divide decimals that represent money by whole numbers.
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5.M3.2.5
Find equivalent fractions. Convert between fractions and mixed numbers.
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5.M3.2.6
Develop and interpret scales and scale models.
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5.E&C-1
identifying or using a variety of strategies (e.g., rounding to appropriate place value, multiplying by powers of ten, using front-end estimation to estimate the results of addition or subtraction computations from tenths to 100,000, including money, or simple multiplication or division
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5.E&C-2
recalling basic multiplication facts, products to 144, and corresponding division facts efficiently
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5.E&C-3
adding or subtracting four-digit whole numbers, fractions with like denominators to 12, or decimals involving money
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5.E&C-4
multiplying two-digit whole numbers by two-digit numbers or dividing three-digit whole numbers by single-digit numbers
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5.F&R
Represent, analyze, and use patterns, relations, and functions
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5.M4.2.1
Use patterns and their extensions to make predictions and solve problems; describe patterns found in the number system including those formed by multiples, factors, perfect squares, and powers of 10.
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5.M4.2.2
Generate and solve simple functions by identifying and applying multiplication and division patterns.
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5.M4.2.3
Use a calculator to find a missing item in a number sequence.
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5.M4.2.4
Use words, lists, and tables to represent and analyze patterns.
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5.M4.2.5
Explain the purpose of variables and use them in open sentences to express relationships and describe simple functions.
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5.F&R-1
extending patterns that use addition, subtraction, multiplication, division or symbols, up to 10 terms, represented by models (function machines), tables, sequences, or in problem situations
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5.F&R-2
using rules to express the generalization of a pattern using words, lists, or tables
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5.F&R-3
identifying or applying addition or subtraction patterns to find missing values in a function
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5.F&R-4
using manipulatives, including a calculator, as tools when describing, extending, or representing a number sequence
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5.F&R-5
using an open number sentence (addition, subtraction, multiplication, or division) to solve for an unknown represented by a box or circle (e.g., 256 ÷ __ = 8, __ ÷ 8 = 56, 36 ÷ 3 = __)
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5.G
Construct, transform, and analyze geometric figures.
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5.M5.2.1
Identify and compare various triangles and quadrilaterals according to their sides and/or angles.
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5.M5.2.2
Compare and contrast plane and solid figures (e.g., circle/sphere, square/cube, triangle/pyramid) using relevant attributes, including the number of vertices, edges, and the number and shape of faces.
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5.M5.2.3
Identify and model geometric figures that are congruent, similar, and/or symmetrical.
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5.M5.2.4
Distinguish between area and perimeter; find both using a variety of methods including rulers, grid paper, and tiles.
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5.M5.2.5
Identify and model transformations of geometric figures, describing the motions as slides, flips, or rotations.
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5.M5.2.6
Locate and describe objects in terms of their position with and without compass directions; identify coordinates for a given point or locate points of given coordinates on a grid.
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5.M5.2.7
Sketch and identify line segments, midpoints, intersections, parallel, and perpendicular lines.
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5.G-1
using the attributes and properties of angles and the number, length, and orientation of sides to identify or compare triangles (scalene, isosceles, or equilateral) or quadrilaterals (parallelograms, trapezoids, rhombi)
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5.G-2
using the attributes and properties of solid figures (edges, vertices, number of faces) to model, identify, compare, or describe (cubes, cylinders, cones, spheres, pyramids, or rectangular prisms) (e.g., boxes, buildings, packages)
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5.G-3
illustrating or identifying the results of transformation (slides, turns, or flips of polygons) (e.g., pictures of cultural art, fabric designs, architecture, logos)
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5.G-4
identifying, creating, or drawing geometric figures that are congruent, similar, or symmetrical
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5.G-5
modeling designs (e.g., tessellations) that contain a series of slides, flips, and/or turns
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5.G-6
estimating or determining area or perimeter of rectangles using a key, ruler, or given measures
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5.G-7
estimating or determining the area and circumference of a circle using a grid or manipulatives
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5.G-8
locating points of given coordinates on a grid or identifying coordinates for a given point (e.g., items on a treasure map)
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5.G-9
identifying or drawing perpendicular line segments or midpoints
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5.S&P
Formulate questions, gather and interpret data, and make predictions
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5.M6.2.1
Collect, organize, and display data creating a variety of visual displays including tables, charts, and line graphs.
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5.M6.2.2
Present the data using a variety of appropriate representations and explain the meaning of the data.
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5.M6.2.3
Describe and interpret a data set using mean, median, mode, and range.
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5.M6.2.4
Estimate whether a game is mathematically fair or unfair; analyze and present probability data using simple fractions.
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5.M6.2.5
Conduct simple probability experiments using concrete materials and represent the results using fractions and probability.
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5.S&P-1
designing an investigation and collecting, organizing, or displaying, using appropriate scale, data in real-world problems (e.g., social studies, friends, or school), using bar graphs, tables, charts, diagrams, or line graphs with whole numbers up to 50
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5.S&P-2
using information from a variety of displays (tables, bar graphs, line graphs, or Venn diagrams)
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Problem solving: Use Venn diagrams to solve problems (Fifth grade - J.5)
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Data, charts, and graphs: Read a table (Fifth grade - R.1)
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Data, charts, and graphs: Pictographs (Fifth grade - R.4)
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Data, charts, and graphs: Frequency charts (Fifth grade - R.5)
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Data, charts, and graphs: Stem-and-leaf plots (Fifth grade - R.6)
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Data, charts, and graphs: Circle graphs (Fifth grade - R.7)
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Data, charts, and graphs: Histograms (Fifth grade - R.8)
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5.S&P-3
using mode, median, or range with up to 10 pieces of data with a value of 10 or less each
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5.S&P-4
predicting or explaining the probability of all possible outcomes in an experiment using ratios or fractions to describe the probability
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5.S&P-5
solving or identifying solutions to problems involving money combinations (e.g., how many ways can you make 25 cents using nickels, dimes, or quarters?)
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